4 citations · 4 across the 1 of their papers we have counts for
6 papers · 1 filter
The limit as of the fractional convex envelope
Begoña Barrios, Leandro M. Del Pezzo, Alexander Quaas +1
We study the behavior of the fractional convexity when the fractional parameter goes to 1. For any notion of convexity, the convex envelope of a datum prescribed on the boundary of…
The fundamental solution of the fractional p-laplacian
Leandro M. Del Pezzo, Alexander Quaas
In this article, we find the fundamental solution of the fractional p-laplacian and use them to prove two different Liouville-type theorems. A non-existence classical Liouville-typ…
Study of the existence of supersolutions for nonlocal equations with gradient terms
Begoña Barrios, Leandro M. Del Pezzo
We study the existence of positive supersolutions of nonlocal equations in exterior domains where the datum can be comparade with near th…
Dirichlet-to-Neumann maps on Trees
Leandro M. Del Pezzo, Nicolás Frevenza, Julio D. Rossi
In this paper we study the Dirichlet-to-Neumann map for solutions to mean value formulas on trees. We give two alternative definition of the Dirichlet-to-Neumann map. For the first…
An optimization problem with volume constraint with applications to optimal mass transport
Joao Vitor da Silva, Leandro M. Del Pezzo, Julio D. Rossi
In this manuscript we study the following optimization problem with volume constraint: \[ \min\left\{\frac{1}{p}\int_Ω |\nabla v|^pdx- \int_{\partial Ω} gv\,dS \colon v \in W^{1, p…
Symmetry results in the half space for a semi-linear fractional Laplace equation through a one-dimensional analysis
B. Barrios, L. Del Pezzo, J. García-Melián +1
In this paper we analyze the semi-linear fractional Laplace equation $$(-Δ)^s u = f(u) \quad\text{ in } \mathbb{R}^N_+,\quad u=0 \quad\text{ in } \mathbb{R}^N\setminus \mathbb{R}^N…